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Kinetics and Thermodynamics

Arrhenius Plot Generator in Python for Activation Energy and Kinetics Analysis

Arrhenius plots convert temperature-dependent rate constants into a straight-line fit that yields activation energy. Plotivy creates ln(k) versus 1/T figures with annotations that work for chemistry, catalysis, and materials science.

When an Arrhenius Plot Helps

If your rate constant changes with temperature, an Arrhenius plot is the fastest way to quantify the barrier behind it. The slope gives activation energy, the intercept carries the pre-exponential factor, and the linearity tells you whether a single-process model is a reasonable fit.

Reaction kinetics

Extract activation energy from rate constants across a temperature series.

Catalyst comparison

Compare how different catalysts shift the energy barrier.

Materials science

Track thermal degradation, diffusion, or aging behavior.

Fit diagnostics

Check whether the data follow a single straight-line regime or need a segmented model.

Chemistry-ready figure

Show ln(k) against 1/T with a fit line that is easy to cite in a manuscript or report.

Direct activation energy annotation

Surface the slope-derived Ea value on the figure so readers do not need to infer it from the code.

Temperature-focused layout

Keep the axes and annotations clean enough for reaction kinetics, catalysis, or thermal analysis.

Editable and reproducible

Use Python output that can be tuned for real datasets without rebuilding the plot from scratch.

Live Code Lab: Arrhenius Plot

This example takes rate constants at six temperatures, fits ln(k) versus 1/T, and annotates the activation energy and R-squared value directly on the chart.

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Learn by Experimenting

This is a safe playground for learning! Try changing:

  • • Colors: Modify color values to see different palettes
  • • Numbers: Adjust sizes, positions, or data ranges
  • • Labels: Update titles, axis names, or legends

Edit the code, run it, then open the full data visualization tool to continue with your own dataset.

Chart gallery

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import matplotlib.pyplot as plt
import numpy as np
from scipy import stats
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# Generate sample data
np.random.seed(42)
n_samples = 200
height = np.random.normal(170, 8, n_samples)
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import matplotlib.pyplot as plt
import numpy as np

# Generate temperature data for 3 major US cities over 12 months
months = ['Jan', 'Feb', 'Mar', 'Apr', 'May', 'Jun', 'Jul', 'Aug', 'Sep', 'Oct', 'Nov', 'Dec']
nyc = [30, 32, 40, 52, 65, 75, 82, 81, 74, 63, 50, 38]
miami = [65, 66, 70, 76, 82, 87, 90, 90, 87, 80, 72, 66]
chicago = [25, 27, 35, 48, 62, 72, 80, 79, 71, 60, 45, 32]

# Create figure with enhanced styling
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# Generate performance scores for 5 treatment groups
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ages = skewnorm.rvs(a=2, loc=42, scale=15, size=500)
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fig, ax = plt.subplots(figsize=(12, 7))
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# Create correlation matrix for financial metrics
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Put Activation Energy on the Figure

Convert your temperature-dependent kinetics into a clear Arrhenius figure with a regression line, Ea annotation, and publication-ready formatting.